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Finding the Fourth Proportional to 705.02, 1,056.81 and 392.72

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Solution

The fourth proportional to 705.02, 1,056.81 and 392.72 is: 588.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.02 : 1,056.81 = 392.72 : x
  2. Step 2: Convert to fraction form
    705.02/1,056.81 = 392.72/x
  3. Step 3: Cross multiply
    705.02x = 1,056.81 × 392.72
  4. Step 4: Simplify right side
    705.02x = 415,030.42
  5. Step 5: Solve for x
    x = 415,030.42/705.02
  6. Step 6: Final answer
    x = 588.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.